Deck 23: Measurement Basics

Question 1

A) What does the term measurement mean?
B) What process is involved in directly measuring something?

Answer 1

A) Measurement can refer to the process of assigning a value to a quantity, or to the result of that process.
B) A direct measurement of a characteristic involves comparing the given object with a unit having the same characteristic as that object, and repeating as necessary so that the two match on the characteristic.

Question 2

Suppose I reported the length of a bookshelf to be 2.12 meters. What range would you expect the actual length of the bookshelf to lie in? Explain your answer.

Answer 2

The length can be greater than, or equal to, 2.115 meters and up to 2.125 meters.

Question 3

Susanna stated that the length of her desk is 135.2 centimeters. What range would you expect the actual length of the desk to fall within?

Answer 3

The length can be greater than, or equal to, 135.15 centimeters and up to 135.25 centimeters.

Question 4

A measurement reported to be 22 inches to the nearest quarter inch could be at the LARGEST at:

A) just under $22 \frac { 1 } { 4 }$
B) 22".
C) just under $22 \frac { 1 } { 8 }$
D) $21 \frac { 3 } { 4 }$ ".

Question 5

In each part, without calculation, tell whether x or 10 is larger. Explain your choice.

A) x unit I's = 10 unit II's
B) x unit II's = 10 unit III's

Question 6

Anthony tessellated a rectangular piece of paper with 36 rectangles that were 1 inch by 2 inches in size. Jennifer tessellated a page the same size and shape as Anthony's, but with rectangles 2 inches by 4 inches. How many rectangles did Jennifer use?

Question 7

At a store, you bought 2 pounds of apples and 1 $\frac { 1 } { 2 }$
pounds of grapes. If the store's scale measures to the nearest half pound, what is the range of possible actual weights for the sum of both purchases of fruits?

Question 8

Select the most appropriate unit from A-C for measuring each characteristic listed below.
$\underline{\quad\quad}$ a sector of a circle $\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$ A. centimeters
$\underline{\quad\quad}$ how much of an apple you ate $\quad$$\quad$$\quad$$\quad$$\quad$ B. cubic centimeters
$\underline{\quad\quad}$ the length of the pencil you are using $\quad$$\quad$$\quad$ C. square centimeters
$\underline{\quad\quad}$ how far a 2-year-old threw a ball

Question 9

Measuring to the nearest half inch, what distances would be acceptable as
inches on a ruler? Sketch a part of a ruler showing your solution.

Question 10

Give two different key ideas of measurement.

Question 11

Use a protractor and straightedge to draw an angle that is 65 degrees, an angle that is 125 degrees, and an angle that is 70 degrees.

Question 12

How many decimeters (to the nearest decimeter) are in 4.928 meters?

Question 13

How many degrees of longitude separate $123 ^ { \circ } 19 ^ { \prime \prime }$ west longitude and $54 ^ { \circ } 37 ^ { \prime } 54 ^ { \prime \prime }$ west longitude?

Question 14

The minute hand on a clock goes through _____ degrees between 2:11 a.m. and 3:12 a.m.

Question 15

A) Using a compass and a straightedge, construct an angle that is 157.5°. Do not erase any important construction marks.
B) Which key idea(s) of measurement did you use?

Question 16

Find the measure of an angle that is supplementary to an angle of size 35° 1 51 .

Question 17

For the figure shown, with line AX parallel to line DY, find the following. For A-C use the numbered angles ONLY.

A) a pair of vertical angles
B) a pair of corresponding angles
C) a pair of alternate interior angles
D) the measure of angle 6

Question 18

The length of a baby's head (top of head to chin) is about one-fourth of the entire length of a baby. If the baby is 56 centimeters long, how long is the baby's head?

A) 14 centimeters
B) 70 centimeters
C) 224 centimeters
D) 18 centimeters
E) There is not enough information to answer the question.

Question 19

How many centimeters (to the nearest centimeter) are in 7.937 meters?

A) 8 centimeters
B) 79 centimeters
C) 794 centimeters
D) 7937 centimeters
E) 79,370 centimeters

Question 20

A male basketball player is MOST likely to be _____ tall.

A) 2.2 decimeters
B) 2.2 meters
C) 2.2 hectometers
D) 2.2 kilometers
E) 2.2 centimeters